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Finding the Fourth Proportional to 681.55, 1,020.06 and 518.32

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Solution

The fourth proportional to 681.55, 1,020.06 and 518.32 is: 775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.55 : 1,020.06 = 518.32 : x
  2. Step 2: Convert to fraction form
    681.55/1,020.06 = 518.32/x
  3. Step 3: Cross multiply
    681.55x = 1,020.06 × 518.32
  4. Step 4: Simplify right side
    681.55x = 528,717.50
  5. Step 5: Solve for x
    x = 528,717.50/681.55
  6. Step 6: Final answer
    x = 775.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.